I think the only animals I actively don't want to be around are venomous snakes and invertebrates. Other than that, I'm pretty cool with most critters. Dogs are great pets. Cats are too as long as you have the patience to deal with them (which I don't really have, so I just cuddle on other people's felines and let them deal with their finicky ways). Pet fish are boring to me, but I can see why others like them. Haven't been around many pet birds.
Wild animals I am particularly fond of include wolves, sea-wolves (better known as orcas or killer whales), lions, elephants, pandas, and bald eagles.
There is one other domesticated animal I love, and that is the horse. I have always loved horses. And I love watching them in their various sports, be it racing or rodeo. I always try to watch the race for the Triple Crown every year. And I love going to local rodeos. Apparently just as much care and breeding go into producing bucking broncs as into producing racehorses. At least, that's what the folks running my city's annual rodeo have said.